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A bus decreased its speed from 80/km/h to 60/km/h in 5 seconds. find the acceleration of the bus?
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A bus decreased its speed from 80/km/h to 60/km/h in 5 seconds. find t...
Understanding the Problem
To find the acceleration of the bus, we need to know the change in velocity and the time taken for that change.
Given Data
- Initial Speed (u) = 80 km/h
- Final Speed (v) = 60 km/h
- Time (t) = 5 seconds
Step 1: Convert Speed from km/h to m/s
- Conversion Factor: 1 km/h = 5/18 m/s
- Initial Speed in m/s:
- u = 80 km/h * (5/18) = 22.22 m/s
- Final Speed in m/s:
- v = 60 km/h * (5/18) = 16.67 m/s
Step 2: Calculate Change in Velocity
- Change in Velocity (Δv) = Final Speed - Initial Speed
- Δv = v - u = 16.67 m/s - 22.22 m/s = -5.55 m/s
Step 3: Calculate Acceleration
- Acceleration (a) is defined as the change in velocity over time.
- Formula:
- a = Δv / t
- Substitute the values:
- a = -5.55 m/s / 5 s = -1.11 m/s²
Conclusion
- The negative sign indicates that the bus is decelerating.
Final Result
- The acceleration of the bus is -1.11 m/s², signifying a reduction in speed.
To find the acceleration of the bus, we need to know the change in velocity and the time taken for that change.
Given Data
- Initial Speed (u) = 80 km/h
- Final Speed (v) = 60 km/h
- Time (t) = 5 seconds
Step 1: Convert Speed from km/h to m/s
- Conversion Factor: 1 km/h = 5/18 m/s
- Initial Speed in m/s:
- u = 80 km/h * (5/18) = 22.22 m/s
- Final Speed in m/s:
- v = 60 km/h * (5/18) = 16.67 m/s
Step 2: Calculate Change in Velocity
- Change in Velocity (Δv) = Final Speed - Initial Speed
- Δv = v - u = 16.67 m/s - 22.22 m/s = -5.55 m/s
Step 3: Calculate Acceleration
- Acceleration (a) is defined as the change in velocity over time.
- Formula:
- a = Δv / t
- Substitute the values:
- a = -5.55 m/s / 5 s = -1.11 m/s²
Conclusion
- The negative sign indicates that the bus is decelerating.
Final Result
- The acceleration of the bus is -1.11 m/s², signifying a reduction in speed.
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A bus decreased its speed from 80/km/h to 60/km/h in 5 seconds. find the acceleration of the bus?
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A bus decreased its speed from 80/km/h to 60/km/h in 5 seconds. find the acceleration of the bus? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A bus decreased its speed from 80/km/h to 60/km/h in 5 seconds. find the acceleration of the bus? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bus decreased its speed from 80/km/h to 60/km/h in 5 seconds. find the acceleration of the bus?.
A bus decreased its speed from 80/km/h to 60/km/h in 5 seconds. find the acceleration of the bus? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A bus decreased its speed from 80/km/h to 60/km/h in 5 seconds. find the acceleration of the bus? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bus decreased its speed from 80/km/h to 60/km/h in 5 seconds. find the acceleration of the bus?.
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